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Finding the Third Proportional to 450,568 and 629,923

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Solution

The third proportional to 450,568 and 629,923 is: 880,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,568 : 629,923 = 629,923 : x
  2. Step 2: Convert to fraction form
    450,568/629,923 = 629,923/x
  3. Step 3: Cross multiply
    450,568x = 629,923 × 629,923
  4. Step 4: Simplify right side
    450,568x = 396,802,985,929
  5. Step 5: Solve for x
    x = 396,802,985,929/450,568
  6. Step 6: Final answer
    x = 880,672.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.